1. **State the problem:** Find the truth set of the equation $$3x + 5x - 2 = 0$$. 2. **Combine like terms:** Add the terms with $x$ together: $$3x + 5x = 8x$$ So the equation becomes: $$8x - 2 = 0$$ 3. **Isolate the variable term:** Add 2 to both sides: $$8x = 2$$ 4. **Solve for $x$:** Divide both sides by 8: $$x = \frac{2}{8} = \frac{1}{4}$$ 5. **Conclusion:** The truth set is the set of all $x$ values that satisfy the equation, which is: $$\{ \frac{1}{4} \}$$